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Finding the Fourth Proportional to 7,941.59, 11,912.27 and 1,937.69

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Solution

The fourth proportional to 7,941.59, 11,912.27 and 1,937.69 is: 2,906.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,941.59 : 11,912.27 = 1,937.69 : x
  2. Step 2: Convert to fraction form
    7,941.59/11,912.27 = 1,937.69/x
  3. Step 3: Cross multiply
    7,941.59x = 11,912.27 × 1,937.69
  4. Step 4: Simplify right side
    7,941.59x = 23,082,217.21
  5. Step 5: Solve for x
    x = 23,082,217.21/7,941.59
  6. Step 6: Final answer
    x = 2,906.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.